Differential Equations with MATLAB

Mark McKibben, Micah D. Webster

"The purpose of this book is to illustrate the use of MATLAB in the study of several models involving ordinary and partial differential equations. It includes different disciplines such as physics, engineering and finance. It may be useful for engineers, physicists and applied mathematicians and also for advanced undergraduate (or beginning graduate) students who are interested in the utilization of MATLAB in differential equations. ... The volume incorporates many figures and MATLAB exercises and many questions are raised throughout the text so that readers can do their own computer experiments."—Antonio Canada Villar (Granada), writing in Zentralblatt MATH 1320 – 1

• ORDINARY DIFFERENTIAL EQUATIONS: Welcome! A Basic Analysis Toolbox. A First Wave of Mathematical Models. Finite-Dimensional Theory-Ground Zero: The Homogenous Case. Finite-Dimensional Theory-Next Step: The Non-Homogenous Case. A Second Wave of Mathematical Models-Now, with Nonlinear Interactions. Finite-Dimensional Theory-Last Step: The Semi-Linear Case. ABSTRACT ORDINARY DIFFERENTIAL EQUATIONS: Getting the Lay of a New Land. Three New Mathematical Models. Formulating a Theory for (A-HCP). The Next Wave of Mathematical Models-With Forcing. Remaining Mathematical Models. Formulating a Theory for (A-NonCP). A Final Wave of Models-Accounting for Semilinear Effects. Appendix. Bibliography. Index.